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Photon energy calculator

Find the energy of one photon from vacuum wavelength or frequency, or invert a supplied photon energy.

Calculator

Energy per photon (eV)
2.47968397
Energy per photon
0
Photon frequency
599,585,000,000,000
Vacuum wavelength (nm)
500.00000000
Joule scientific-notation coefficient
3.97289171
Joule scientific-notation exponent
-19.00000000
Scientific notation for small or large results
QuantityValue in the stated units (SI for dimensioned outputs)
Photon frequency5.9958491600e+14
Energy per photon3.9728917143e-19

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How this calculator works

A photon carries energy h times its frequency. In vacuum, wavelength and frequency multiply to c, so energy is also hc divided by wavelength. Use vacuum wavelength for the energy conversion. In a material, photon frequency remains the useful quantity because phase wavelength also depends on refractive index. Energy here is per photon, rather than power or a beam energy total. All defining constants are the exact SI values listed in CODATA 2018.

Formula

E = hf = hc/lambda; 1 eV = 1.602176634e-19 J. In eV and nm: E = 1239.841984332.../lambda.

Worked example

A 500 nm photon carries about 2.479683969 eV or 3.972891714e-19 J. Doubling its wavelength halves its energy.

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Frequently asked questions

Is this energy per mole?

No. Multiply the per-photon value by Avogadro constant for energy per mole of photons.

Can I enter wavelength measured in water?

Convert it to vacuum wavelength using the phase index, or use the measured frequency directly.

Why show a coefficient and exponent?

A tiny joule value can round to zero in an ordinary decimal readout. Scientific notation preserves its scale.

Sources

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